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svlad2 [7]
3 years ago
9

What is the solution to the inequality in interval notation? |4x+6|≤14

Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer: x>5

Step-by-step explanation: The Absolute Value term is |4x+6|

For the Negative case, we'll use -(4x+6)

For the Positive case, we'll use (4x+6)

-(4x+6) = 14

    Multiply

     -4x-6 = 14

    Rearrange and Add up

     -4x = 20

    Divide both sides by 4

     -x = 5

    Multiply both sides by (-1)

     x = -5

    Which is the solution for the Negative Case

(4x+6) = 14

    Rearrange and Add up

     4x = 8

    Divide both sides by 4

     x = 2

x=-5

x=2

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Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

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Step-by-step explanation:

<em>See comment for complete question</em>

Given

A: (4x^2 - 4x)(x^2 - 4)

B: (x^2 + x - 2)(4x^2 - 8x)

Required

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To do this, we simply factorize each polynomial

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Apply difference of two squares on x^2 - 4

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For, Polynomial B: We have:

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Rearrange

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A: 4x(x - 1)(x - 2)(x+2) and  

B: 4x(x - 1)(x - 2)(x+2)

Hence, both polynomials are equal

A = B

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